Ask for a math problem about function F (x) = ax ^ 2 + (b-2) x + 3 is the even function defined on [2a-1,2-a]. Find the range of function

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• 1. Exponential function f (x) = 2 ^ x + 1 / (2 ^ | x |) = 2, then x =?
• 2. A mathematical problem of function Given that f (x) is an odd function, G (x) is an even function, and f (- 1) + G (1) = 2, f (1) + G (- 1) = 4, then G (1) =?
• 3. Beijing Olympic Games + Olympic Games + Olympic Games = 2008 what are the numbers of Beijing, Beijing, Olympic Games and Olympic Games
• 4. Quick calculation formula of profit rate I'd like to ask my brothers, sisters, brothers and sisters. For example, I sold 5000 yuan of products, and the unit price profit of each product is 60%. What's the cost and profit of 5000 yuan? How can I get a formula? If 5000 * 60% (0.6) = 3000 yuan, is the profit? And 2000 yuan is the cost? So I think my actual cost is close to 3000 yuan, but the profit is less than 2000 yuan. If my unit cost is 1.2 yuan, then I want 300 yuan for 5000 yuan sales, How do I get a formula? How many times 1? Please give it to a specific company. Please bring a formula with numbers. I'm not good at math. I'm going to study accounting today
• 5. Known circle C: (x-3) ^ 2 + y ^ 2 = 100. A (- 3,0) Following title: P is any point of circle C, the vertical bisector l of line PA intersects PC at Q point, and the trajectory equation of Q point is obtained Make a straight line AB through the point P (1,1), which respectively intersects the positive half axis of X axis and the positive half axis of Y axis at two points a (a, 0). B (0, b). When a is the value, the area of triangle AOB is the smallest, and what is the minimum area?
• 6. x²/m+2+y²/3-m=1 Let m = 2, the line L passing through point d (0,4) intersects curve C with two points m,. N, and O is the origin of the coordinate. If △ omn is a right triangle, the slope of L is obtained
• 7. It is known that the line L: x-y-1 = 0 and the circle C: (x-3) square + (y-4) square = 2 are tangent to point P and pass through point P Given that the line L: x-y-1 = 0 and circle C: (x-3) square + (y-4) square = 2 are tangent to point P, the line L1 passing through point P intersects circle C at another point Q, and the length of segment PQ is 2, the L1 equation is solved
• 8. If XY belongs to R and has 2x + y + xy = 6, then the maximum value of 2x + y?
• 9. Let p be a point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) Given that point P is a point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0), F1 and F2 are the two focuses of the ellipse, and there is a point P on the ellipse, which makes ∠ f1pf2 = 60 degree 1. Calculate the value range of ellipse eccentricity 2. Calculate the area of △ pf1f2
• 10. Given a > = 0, the function f (x) = (x ^ 2-2ax) e ^ X Given a > = 0, the function f (x) = (x ^ 2-2ax) e ^ X 1) When what is the value of X, f (x) gets the minimum? Prove your conclusion 2) Let f (x) be a monotone function on [- 1,1] The process needs to be clear
• 11. On functions 1. It is known that f (x) is an increasing function on (- ∞, + ∞). If a + B ≤ 0, then f (x) is an increasing function A.f (a)+f (b) ≤－f (a) －f (b) B.f (a)+f (b)≥－f (a) －f (b) C.f (a)+f (b) ≤f (－a) ＋f (－b) D.f (a)+f (b)≥f (－a) ＋f (－b) 2. If f (1 / x) = x / (1-x2), then f (x) =? Note: (1-x2) is a whole, and its 2 represents the square of X
• 12. It's difficult (for me) to ask two math problems of function (1) The function f (x) = x2 + 1 is a decreasing function on (- ∞, 0) (2) The function f (x) = 1-1 / X is an increasing function on (- ∞, 0) Yes, it's proof
• 13. Two questions about function mathematics 1. It is known that the image of the first-order function y = 3x-2k intersects with the image of the inverse scale function y = K-3 of X. the ordinate of one of the intersections is 6. Find the coordinates of the intersection of the image of the first-order function and the x-axis and y-axis 2. The analytic expressions of the inverse scale function to the first-order function are determined respectively when the intersection of the image of the inverse scale function y = x / K and the first-order function y = MX + n is a (- 3,4) and the distance from the intersection of the image of the first-order function and the X axis to the origin is 5
• 14. The image of a certain function passes through the point (- 1,3), and the value of function y decreases with the increase of the independent variable x. a function relation conforming to the above conditions is written out
• 15. As shown in the figure, we know that the image of the first-order function intersects the image of the positive proportion function at point m, intersects the x-axis at point n (- 6,0), and we also know the coordinates of point m (- 4,m). If the area of △ mon is 15, we can find the analytic expressions of the positive proportion function and the first-order function
• 16. It is known that the image of positive scale function y = KX and the image of primary function y = 4 / 3x + B intersect at point a (2,4), and the expression of primary function of positive scale function is obtained
• 17. In the plane rectangular coordinate system xoy, it is known that the line y = - x + 4 intersects with the X axis at point a, there is a point m on the line, and the area of △ AOM is 8, so the coordinates of point m can be obtained
• 18. Y = quadratic of X / quadratic of X + 1 (x belongs to R) Y value range
• 19. How to draw the image of the first-order function (e.g. y = 2x [0
• 20. For a linear function y = - 2x + 3, the value range of the independent variable X of its image in the first quadrant is? The answer is 0 ＜ x ＜ 3 / 2,